Mesoscopic approach to minority games in herd regime

We study minority games in efficient regime. By incorporating the utility function and aggregating agents with similar strategies we develop an effective mesoscale notion of the state of the game. Using this approach, the game can be represented as a Markov process with substantially reduced number of states with explicitly computable probabilities. For any payoff, the finiteness of the number of states is proved. Interesting features of an extensive random variable, called aggregated demand, viz. its strong inhomogeneity and presence of patterns in time, can be easily interpreted. Using Markov theory and quenched disorder approach, we can explain important macroscopic characteristics of the game: behavior of variance per capita and predictability of the aggregated demand. We prove that in the case of linear payoff many attractors in the state space are possible.     

Large scale effects in weakly turbulent premixed flames

In this study we numerically investigate large scale premixed flames in weakly turbulent flow fields. A large scale flame is classified as such based on a reference hydrodynamic lengthscale being larger than a neutral (cutoff) lengthscale for which the hydrodynamic or Darrieus–Landau (DL) instability is balanced by stabilizing diffusive effects. As a result, DL instability can develop for large scale flames and is inhibited otherwise. Direct numerical simulations of both large scale and small scale three-dimensional, weakly turbulent flames are performed at constant Karlovitz and turbulent Reynolds number, using two paradigmatic configurations, namely a statistically planar flame and a slot Bunsen flame. As expected from linear stability analysis, DL instability induces its characteristic cusp-like corrugation only on large scale flames. We therefore observe significant morphological and topological differences as well as DL-enhanced turbulent flame speeds in large scale flames. Furthermore, we investigate issues related to reaction rate modeling in the context of flame surface density closure. Thicker flame brushes are observed for large scale flames resulting in smaller flame surface densities and overall larger wrinkling factors.     

光学系统设计中全局优化方法的实现

 把变尺度法用于光学优化设计中，同时使用了“逃逸函数”技术, 从而实现了光学系统设计的全局优化。在使用逃逸函数时，两个因子H和W的确定是能否“逃逸”优化“陷井”的关键。用这种技术借助于C语言开发的程序成功地设计了一典型的光学系统。     

双成象单元扫描隧道显微镜与原子尺纳米计量技术

研制了双成象单元扫描隧道显微镜(STM),可同时对参考样品的原子晶格和被测样品扫描成象.计数原子晶格的数目,即可精确测定被测样品图象的尺度,以原子尺方式实现严格的纳米计量.本文介绍双成象单元的STM的原理和仪器系统,讨论原子尺纳米计量的可行性,给出被测样品图象的纳米计量结果.     

3,4-二羟基苯甲酸的流动注射化学发光抑制分析法

本文基于３,４－二羟基苯甲酸对Ｃｏ２＋离子催化的鲁米诺－Ｈ２Ｏ２化学发光体系的抑制作用,首次建立了３,４－二羟基苯甲酸的流动注射化学发光抑制分析法,发光信号的降低值ΔⅠ与３,４－二羟基苯甲酸的浓度在１×１０－６～１×１０－５ｍｏｌ／Ｌ的范围内呈良好的线性关系,检出限为２．７×１０－７ｍｏｌ／Ｌ（ｎ＝１１）,对８×１０－６ｍｏｌ／Ｌ３,４－二羟基苯甲酸测定的相对标准偏差为２．３％（ｎ＝１１）。     

一类多标度分形介质膜系的反射率

应用鲁阳德（Ｒｏｕａｒｄ）递推方法计算光在垂直入射时二标度和三标度分形介质膜系的反射率。结果表明,多标分形介质膜系的反射率具有分形的自相似特征。     

《浙江省儿童智力筛查量表》的编制

本文是关于儿童智力筛查量表浙江省常模的编制报告。取样于浙江省四市二镇七县6～12岁696名儿童。利用前已确定的量表内容逐个进行测试,分别建立城市与农村常模。量表重测信度系数为0.94,效度估计为0.78,0.83,0.89等.常模中对弱智儿童的检出频率为0.02,这与国内外同类量表的检出频率相接近。临床初步应用结果较有效。     

Principal resonance responses of SDOF systems with small fractional derivative damping under narrow-band random parametric excitation

The principal resonance responses of nonlinear single-degree-of-freedom (SDOF) systems with lightly fractional derivative damping of order α (0 < α < 1) subject to the narrow-band random parametric excitation are investigated. The method of multiple scales is developed to derive two first order stochastic differential equation of amplitude and phase, and then to examine the influences of fractional order and intensity of random excitation on the first-order and second-order moment. As an example, the stochastic Duffing oscillator with fractional derivative damping is considered. The effects of detuning frequency parameter, the intensity of random excitation and the fractional order derivative damping on stability are studied through the largest Lyapunov exponent. The corresponding theoretical results are well verified through direct numerical simulations. In addition, the phenomenon of stochastic jump is analyzed for parametric principal resonance responses via finite differential method. The stochastic jump phenomena indicates that the most probable motion is around the larger non-trivial branch of the amplitude response when the intensity of excitation is very small, and the probable motion of amplitude responses will move from the larger non-trivial branch to trivial branch with the increasing of the intensity of excitation. Such stochastic jump can be considered as bifurcation.     

应用ROC曲线确定心理弹性量表的诊断界值研究

心理弹性量表RS-14是测量心理弹性的有效工具.测量临床肿瘤患者的心理弹性能够帮助临床医护人员发现弱心理弹性的患者并及时对他们进行心理护理和心理干预.为了能用RS-14筛查弱心理弹性的肿瘤患者,需要确定RS-14得分的截断值,以此截断值作为临床筛查弱心理弹性的诊断界值.将ROC曲线结合多项式回归用于确定RS-14的诊断界值进行探讨,并介绍了具体的应用步骤.     

Delay dynamic equations on time scales

This article is concerned with delay dynamic equations on time scales. Linear and nonlinear delay dynamic equations are discussed. By using a different theorem to that used S. Hilger, Analysis on measure chains. A unified approach to continous and discrete calculus. Results Math. 18 (1990), pp. 18–56], some criteria for the existence, uniqueness and continuous dependence of the solution for the nonlinear delay dynamic equations are established.